Adaptive Multilinear SVD for Structured Tensors

  title={Adaptive Multilinear SVD for Structured Tensors},
  author={R{\'e}my Boyer and Roland Badeau},
  journal={2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings},
The higher-order SVD (HOSVD) is a generalization of the SVD to higher-order tensors (ie. arrays with more than two indexes) and plays an important role in various domains. Unfortunately, the computational cost of this decomposition is very high since the basic HOSVD algorithm involves the computation of the SVD of three highly redundant block-Hankel matrices, called modes. In this paper, we present an ultra-fast way of computing the HOSVD of a third-order structured tensor. The key result of… CONTINUE READING
5 Citations
13 References
Similar Papers


Publications referenced by this paper.
Showing 1-10 of 13 references

Signal Processing based on Multilinear Algebra

  • L. De Lathauwer
  • PhD thesis, Katholieke Universiteit Leuven
  • 1997
Highly Influential
6 Excerpts

Analyses and Tests of Handwritten Digit Recognition Algorithms

  • B. Savas
  • Master’s Thesis, Department of Mathematics…
  • 2003
1 Excerpt

Tensor Decomposition

  • P. Comon
  • state of the art and applications”, IMA Conf…
  • 2000
1 Excerpt

Similar Papers

Loading similar papers…